Click Here to Download: https://ouo.io/kSvEUa Gems, Computers And Attractors For 3-manifolds By: Lins Sostenes Publisher: World Scientific Print ISBN: 9789810219079, 9810219075 eText ISBN: 9789812796196, 9812796193 Format: PDF Available from $ 217.00 USD SKU 9789812796196 This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants.
